scholarly journals A NOTE ON VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS

2010 ◽  
Vol 81 (3) ◽  
pp. 353-360 ◽  
Author(s):  
K. LIU ◽  
I. LAINE
Keyword(s):  
Value Distribution ◽  
Difference Polynomials ◽  
Brück Conjecture

AbstractIn this paper, we investigate the value distribution of difference polynomials and prove some difference analogues of results of Hayman and the Brück conjecture.

scholarly journals On Value Distribution of Difference Polynomials of Meromorphic Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Zong-Xuan Chen
Keyword(s):  
Meromorphic Functions ◽  
Value Distribution ◽  
Difference Analogue ◽  
Difference Polynomials ◽  
The Difference

We study the value distribution of the difference counterpartΔf(z)−af(z)noff′(z)−af(z)nand obtain an almost direct difference analogue of results of Hayman.

scholarly journals Difference Equations and Sharing Values Concerning Entire Functions and Their Difference

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Zhiqiang Mao ◽  
Huifang Liu
Keyword(s):  
Difference Equations ◽  
Entire Functions ◽  
Value Distribution ◽  
Difference Operators ◽  
Sharing Values ◽  
Difference Analogue ◽  
The Difference ◽  
Brück Conjecture

The value distribution of solutions of certain difference equations is investigated. As its applications, we investigate the difference analogue of the Brück conjecture. We obtain some results on entire functions sharing a finite value with their difference operators. Examples are provided to show that our results are the best possible.

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